• SOME GENERALIZATION OF ENESTROM KAKEYA THEOREM

B. L. RAINA, S. SRIPRIYA*, S. K. SAHU

Abstract


In this paper we obtain some extensions and generalizations of  a well known theorem due to Enestrom and Kakeya. We obtain all the zeros of polynomial P(z)= satisfying certain restrictions on  real as well as imaginary coefficients of complex number aj =(αj, βj) lying within the disk ≤ | z-zλμ| ≤ Rλμ , zλμ (an arbitrary point) is the centre of the disk in the complex plane.


Keywords


Polynomials, Zeros, Enestrom - Kakeya theorem, sharper bounds.

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